PDF

Description

We present an algorithm that determines, in expected O(n^2) time, whether a line exists that stabs each of a set of oriented convex polygons in R^3 with a total of n edges. If a stabbing line exists, the algorithm computes at least one such line. We show that the computation amounts to constructing a convex polytope in R^5 and inspecting its edges for intersections with a four-dimensional quadric surface, the Plucker quadric.

Details

Title
Stabbing Oriented Convex Polygons in Randomized O(n^2) Time
Creator
Computer Science Division, Publisher
Teller, Seth J., Author
Hohmeyer, Michael E., Author
Published
1992-01-01
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
CSD-92-669
Type
Text
Format
technical reports
Extent
10 p
Archive
The Engineering Library
Usage Statement
Researchers may make free and open use of the UC Berkeley Library’s digitized public domain materials. However, some materials in our online collections may be protected by U.S. copyright law (Title 17, U.S.C.). Use or reproduction of materials protected by copyright beyond that allowed by fair use (Title 17, U.S.C. § 107) requires permission from the copyright owners. The use or reproduction of some materials may also be restricted by terms of University of California gift or purchase agreements, privacy and publicity rights, or trademark law. Responsibility for determining rights status and permissibility of any use or reproduction rests exclusively with the researcher. To learn more or make inquiries, please see our permissions policies (https://www.lib.berkeley.edu/about/permissions-policies).
Collection

Files

Statistics

from
to
Export
Download Full History